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In following fig. sketch $V_x \ \&\ V_y$ as a function of $I_{Ref}$. If $I_{Ref}$ requires 0.5V to operate as a current source,what is its maximum value?

enter image description here

Subject: CMOS VLSI Design

Topic: CMOS analog building blocks

Difficulty: High

1 Answer
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Solution:

we have,

$V_x = V_y....................(1)$

For, $M_1,\quad$ $V_{G{S_1}}=V_{D{S_1}}=V_x$

but, $I_{D_1}=\frac{1}{2}\mu_n C_{ox} (\frac{W}{L})_1(V_{G{S_1}}-V_{Th})^2$

$\therefore V_{G{S_1}}=\sqrt {\frac{2I_{D_1}}{[\mu_n C_{ox} (\frac{W}{L})_1]}}+V_{Th}$

$V_{G{S_1}}=\sqrt {\frac{2I_{Ref}}{[\mu_n C_{ox} (\frac{W}{L})_1]}}+V_{Th}$

$\therefore\ V_x=V_y=\sqrt {\frac{2I_{Ref}}{[\mu_n C_{ox} (\frac{W}{L})_1]}}+V_{Th}$

The graph nature will be shown as below :-

enter image description here

To find maximum value of $I_{Ref} :-$

We have,

$V_N=V_{G{S_0}}+V_{G{S_1}}$

$\quad \quad \quad=\sqrt {\frac{2I_{Ref}}{\mu_n …

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